A Transverse Periodic Wave Is Represented by the Equation Y(x

A transverse periodic wave is represented by the equation y(x, t) = A1 sin(ωt − kx) . Another transverse wave is represented by the equation y(x, t) = A2 sin(ωt + kx) . What is the equation that represents the superposition of the two waves?

A) y(x, t) = (A1 + A2) sin(ωt) cos(kx) + (+A1 + A2) cos(ωt) sin(kx)
B) y(x, t) = (A1 + A2) sin(ωt) cos(kx) + (−A1 − A2) cos(ωt) sin(kx)
C) y(x, t) = (A1 − A2) sin(ωt) cos(kx) + (−A1 + A2) cos(ωt) sin(kx)
D) y(x, t) = (A1 + A2) sin(ωt) cos(kx) + (−A1 + A2) cos(ωt) sin(kx)

Correct Answer:

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